# Choice of sampling type for regression-based PCE

**URL:** <https://uqworld.org/t/choice-of-sampling-type-for-regression-based-pce/1953>\
**Category:** Community Q&A and How To\
**Tags:** pce\
**Created:** [July 24, 2023, 10:14am UTC](https://uqworld.org/t/choice-of-sampling-type-for-regression-based-pce/1953 "2023-07-24T10:14:52Z")\
**Posts on this page:** 2\
**Page:** 1

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**Author:** ![achille](https://uqworld.org/user_avatar/uqworld.org/achille/32/1255_2.png) [@achille](https://uqworld.org/u/achille)\
**Post date:** [July 24, 2023, 10:14am UTC](https://uqworld.org/t/choice-of-sampling-type-for-regression-based-pce/1953/1 "2023-07-24T10:14:52Z")

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Hello,

I have a general question about **regression-based PCE** model building: are there any general guidelines on how to select the type of experimental sample (e.g. LHS, Sobol, Monte-Carlo, etc.) used when constructing a PCE model?

Some more detailed questions:

1. Is the efficiency of a certain experimental sample type very application-dependent?

2. Does it depend on the scale of the considered input variability (e.g. meta-modeling over large input variation domains vs uncertainty quantification)?

3. Does it depend on the type of PCE coefficient calculation method (OLS, sparse methods (LARS, OMP, SP, etc.))?

I would be grateful for any insight on this topic, thank you.

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**Author:** ![styfen.schaer](https://uqworld.org/user_avatar/uqworld.org/styfen.schaer/32/849_2.png) [@styfen.schaer](https://uqworld.org/u/styfen.schaer)\
**Post date:** [July 24, 2023, 3:42pm UTC](https://uqworld.org/t/choice-of-sampling-type-for-regression-based-pce/1953/2 "2023-07-24T15:42:23Z")

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Dear @achille

In 2021, @nluethen published an excellent paper titled “Sparse Polynomial Chaos Expansions: Literature Survey and Benchmark,” which provides insights into the questions you’re asking. I recommend [taking a look](https://epubs.siam.org/doi/10.1137/20M1315774) at it!

Best regards  
Styfen